********************** Result using randomized algorithm ********************** n k T(Sec) nlogn 1000 1 0.001000 6907.76 1000 100 0.000000 6907.76 1000 200 0.000000 6907.76 1000 300 0.000000 6907.76 1000 400 0.000000 6907.76 1000 500 0.000000 6907.76 1000 600 0.000000 6907.76 1000 700 0.000000 6907.76 1000 800 0.000000 6907.76 1000 900 0.000000 6907.76 1000 1000 0.000000 6907.76 10000 1 0.000000 92103.40 10000 100 0.000000 92103.40 10000 200 0.000000 92103.40 10000 300 0.001000 92103.40 10000 400 0.001000 92103.40 10000 500 0.000000 92103.40 10000 600 0.000000 92103.40 10000 700 0.001000 92103.40 10000 800 0.000000 92103.40 10000 900 0.000000 92103.40 10000 1000 0.003000 92103.40 10000 1100 0.001000 92103.40 10000 1200 0.000000 92103.40 10000 1300 0.000000 92103.40 10000 1400 0.000000 92103.40 10000 1500 0.000000 92103.40 10000 1600 0.000000 92103.40 10000 1700 0.000000 92103.40 10000 1800 0.001000 92103.40 10000 1900 0.001000 92103.40 10000 2000 0.000000 92103.40 10000 2100 0.001000 92103.40 10000 2200 0.001000 92103.40 10000 2300 0.000000 92103.40 10000 2400 0.000000 92103.40 10000 2500 0.001000 92103.40 10000 2600 0.001100 92103.40 10000 2700 0.000000 92103.40 10000 2800 0.001000 92103.40 10000 2900 0.001000 92103.40 10000 3000 0.001000 92103.40 10000 3100 0.001000 92103.40 10000 3200 0.001000 92103.40 10000 3300 0.000000 92103.40 10000 3400 0.001000 92103.40 10000 3500 0.000000 92103.40 10000 3600 0.001000 92103.40 10000 3700 0.001000 92103.40 10000 3800 0.000000 92103.40 10000 3900 0.000000 92103.40 10000 4000 0.000000 92103.40 10000 4100 0.001000 92103.40 10000 4200 0.001000 92103.40 10000 4300 0.000000 92103.40 10000 4400 0.002000 92103.40 10000 4500 0.001000 92103.40 10000 4600 0.002000 92103.40 10000 4700 0.001000 92103.40 10000 4800 0.000000 92103.40 10000 4900 0.001000 92103.40 10000 5000 0.000000 92103.40 10000 5100 0.002000 92103.40 10000 5200 0.000000 92103.40 10000 5300 0.000000 92103.40 10000 5400 0.001000 92103.40 10000 5500 0.002000 92103.40 10000 5600 0.001000 92103.40 10000 5700 0.000000 92103.40 10000 5800 0.000000 92103.40 10000 5900 0.001000 92103.40 10000 6000 0.001000 92103.40 10000 6100 0.001000 92103.40 10000 6200 0.001000 92103.40 10000 6300 0.002000 92103.40 10000 6400 0.000000 92103.40 10000 6500 0.000000 92103.40 10000 6600 0.000000 92103.40 10000 6700 0.000000 92103.40 10000 6800 0.000000 92103.40 10000 6900 0.001000 92103.40 10000 7000 0.001000 92103.40 10000 7100 0.001000 92103.40 10000 7200 0.001000 92103.40 10000 7300 0.000000 92103.40 10000 7400 0.000000 92103.40 10000 7500 0.001000 92103.40 10000 7600 0.001000 92103.40 10000 7700 0.001000 92103.40 10000 7800 0.001000 92103.40 10000 7900 0.001000 92103.40 10000 8000 0.001000 92103.40 10000 8100 0.001000 92103.40 10000 8200 0.000000 92103.40 10000 8300 0.001000 92103.40 10000 8400 0.001000 92103.40 10000 8500 0.001000 92103.40 10000 8600 0.000000 92103.40 10000 8700 0.000000 92103.40 10000 8800 0.000000 92103.40 10000 8900 0.001000 92103.40 10000 9000 0.001000 92103.40 10000 9100 0.002000 92103.40 10000 9200 0.000000 92103.40 10000 9300 0.001000 92103.40 10000 9400 0.000000 92103.40 10000 9500 0.000000 92103.40 10000 9600 0.000000 92103.40 10000 9700 0.000000 92103.40 10000 9800 0.000000 92103.40 10000 9900 0.001000 92103.40 10000 10000 0.001000 92103.40 100000 1 0.008000 1151292.55 100000 100 0.009000 1151292.55 100000 200 0.006000 1151292.55 100000 300 0.008000 1151292.55 100000 400 0.009000 1151292.55 100000 500 0.005000 1151292.55 100000 600 0.010000 1151292.55 100000 700 0.008000 1151292.55 100000 800 0.009000 1151292.55 100000 900 0.008000 1151292.55 100000 1000 0.008000 1151292.55 100000 1100 0.010000 1151292.55 100000 1200 0.008000 1151292.55 100000 1300 0.006000 1151292.55 100000 1400 0.007000 1151292.55 100000 1500 0.009000 1151292.55 100000 1600 0.008000 1151292.55 100000 1700 0.009000 1151292.55 100000 1800 0.009000 1151292.55 100000 1900 0.010000 1151292.55 100000 2000 0.006100 1151292.55 100000 2100 0.005000 1151292.55 100000 2200 0.009000 1151292.55 100000 2300 0.010000 1151292.55 100000 2400 0.008000 1151292.55 100000 2500 0.005000 1151292.55 100000 2600 0.008000 1151292.55 100000 2700 0.008000 1151292.55 100000 2800 0.010000 1151292.55 100000 2900 0.008000 1151292.55 100000 3000 0.009000 1151292.55 100000 3100 0.008000 1151292.55 100000 3200 0.010000 1151292.55 100000 3300 0.006000 1151292.55 100000 3400 0.008000 1151292.55 100000 3500 0.007000 1151292.55 100000 3600 0.006000 1151292.55 100000 3700 0.010000 1151292.55 100000 3800 0.008000 1151292.55 100000 3900 0.006000 1151292.55 100000 4000 0.007000 1151292.55 100000 4100 0.008000 1151292.55 100000 4200 0.008000 1151292.55 100000 4300 0.010000 1151292.55 100000 4400 0.010000 1151292.55 100000 4500 0.007000 1151292.55 100000 4600 0.006000 1151292.55 100000 4700 0.010000 1151292.55 100000 4800 0.011100 1151292.55 100000 4900 0.010100 1151292.55 100000 5000 0.005000 1151292.55 100000 5100 0.008100 1151292.55 100000 5200 0.012100 1151292.55 100000 5300 0.010000 1151292.55 100000 5400 0.010000 1151292.55 100000 5500 0.008000 1151292.55 100000 5600 0.010000 1151292.55 100000 5700 0.008000 1151292.55 100000 5800 0.008100 1151292.55 100000 5900 0.010000 1151292.55 100000 6000 0.008000 1151292.55 100000 6100 0.009000 1151292.55 100000 6200 0.011000 1151292.55 100000 6300 0.006000 1151292.55 100000 6400 0.010000 1151292.55 100000 6500 0.010000 1151292.55 100000 6600 0.009000 1151292.55 100000 6700 0.009000 1151292.55 100000 6800 0.010000 1151292.55 100000 6900 0.010000 1151292.55 100000 7000 0.010200 1151292.55 100000 7100 0.009000 1151292.55 100000 7200 0.010000 1151292.55 100000 7300 0.008000 1151292.55 100000 7400 0.009000 1151292.55 100000 7500 0.009000 1151292.55 100000 7600 0.010000 1151292.55 100000 7700 0.008000 1151292.55 100000 7800 0.011200 1151292.55 100000 7900 0.011000 1151292.55 100000 8000 0.010000 1151292.55 100000 8100 0.006000 1151292.55 100000 8200 0.010000 1151292.55 100000 8300 0.011000 1151292.55 100000 8400 0.010000 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0.102100 13815510.56 1000000 884000 0.116300 13815510.56 1000000 885000 0.120300 13815510.56 1000000 886000 0.093100 13815510.56 1000000 887000 0.130100 13815510.56 1000000 888000 0.114300 13815510.56 1000000 889000 0.101300 13815510.56 1000000 890000 0.099200 13815510.56 1000000 891000 0.120400 13815510.56 1000000 892000 0.106000 13815510.56 1000000 893000 0.105200 13815510.56 1000000 894000 0.106000 13815510.56 1000000 895000 0.126300 13815510.56 1000000 896000 0.125100 13815510.56 1000000 897000 0.127200 13815510.56 1000000 898000 0.115000 13815510.56 1000000 899000 0.135100 13815510.56 1000000 900000 0.106200 13815510.56 1000000 901000 0.123200 13815510.56 1000000 902000 0.088000 13815510.56 1000000 903000 0.106200 13815510.56 1000000 904000 0.108100 13815510.56 1000000 905000 0.104100 13815510.56 1000000 906000 0.109100 13815510.56 1000000 907000 0.117000 13815510.56 1000000 908000 0.107000 13815510.56 1000000 909000 0.109200 13815510.56 1000000 910000 0.110200 13815510.56 1000000 911000 0.133100 13815510.56 1000000 912000 0.091000 13815510.56 1000000 913000 0.095100 13815510.56 1000000 914000 0.130200 13815510.56 1000000 915000 0.108100 13815510.56 1000000 916000 0.104300 13815510.56 1000000 917000 0.111200 13815510.56 1000000 918000 0.104200 13815510.56 1000000 919000 0.108400 13815510.56 1000000 920000 0.115100 13815510.56 1000000 921000 0.106000 13815510.56 1000000 922000 0.096100 13815510.56 1000000 923000 0.096200 13815510.56 1000000 924000 0.090300 13815510.56 1000000 925000 0.096100 13815510.56 1000000 926000 0.113200 13815510.56 1000000 927000 0.113200 13815510.56 1000000 928000 0.101100 13815510.56 1000000 929000 0.093200 13815510.56 1000000 930000 0.111000 13815510.56 1000000 931000 0.096200 13815510.56 1000000 932000 0.109200 13815510.56 1000000 933000 0.124200 13815510.56 1000000 934000 0.121200 13815510.56 1000000 935000 0.109200 13815510.56 1000000 936000 0.104200 13815510.56 1000000 937000 0.086000 13815510.56 1000000 938000 0.113200 13815510.56 1000000 939000 0.098100 13815510.56 1000000 940000 0.106000 13815510.56 1000000 941000 0.096300 13815510.56 1000000 942000 0.116000 13815510.56 1000000 943000 0.099200 13815510.56 1000000 944000 0.111200 13815510.56 1000000 945000 0.109300 13815510.56 1000000 946000 0.093000 13815510.56 1000000 947000 0.101000 13815510.56 1000000 948000 0.086000 13815510.56 1000000 949000 0.102100 13815510.56 1000000 950000 0.100100 13815510.56 1000000 951000 0.097300 13815510.56 1000000 952000 0.101200 13815510.56 1000000 953000 0.117400 13815510.56 1000000 954000 0.091100 13815510.56 1000000 955000 0.103100 13815510.56 1000000 956000 0.116000 13815510.56 1000000 957000 0.100100 13815510.56 1000000 958000 0.101100 13815510.56 1000000 959000 0.100200 13815510.56 1000000 960000 0.107200 13815510.56 1000000 961000 0.078000 13815510.56 1000000 962000 0.078200 13815510.56 1000000 963000 0.096200 13815510.56 1000000 964000 0.092300 13815510.56 1000000 965000 0.109100 13815510.56 1000000 966000 0.094100 13815510.56 1000000 967000 0.105200 13815510.56 1000000 968000 0.097100 13815510.56 1000000 969000 0.108100 13815510.56 1000000 970000 0.082100 13815510.56 1000000 971000 0.094200 13815510.56 1000000 972000 0.087100 13815510.56 1000000 973000 0.081200 13815510.56 1000000 974000 0.093100 13815510.56 1000000 975000 0.107200 13815510.56 1000000 976000 0.091100 13815510.56 1000000 977000 0.087200 13815510.56 1000000 978000 0.099200 13815510.56 1000000 979000 0.081200 13815510.56 1000000 980000 0.098100 13815510.56 1000000 981000 0.092100 13815510.56 1000000 982000 0.103100 13815510.56 1000000 983000 0.106100 13815510.56 1000000 984000 0.090100 13815510.56 1000000 985000 0.081100 13815510.56 1000000 986000 0.092100 13815510.56 1000000 987000 0.100100 13815510.56 1000000 988000 0.094200 13815510.56 1000000 989000 0.096100 13815510.56 1000000 990000 0.102100 13815510.56 1000000 991000 0.080200 13815510.56 1000000 992000 0.087100 13815510.56 1000000 993000 0.089100 13815510.56 1000000 994000 0.108200 13815510.56 1000000 995000 0.102100 13815510.56 1000000 996000 0.087100 13815510.56 1000000 997000 0.093200 13815510.56 1000000 998000 0.087000 13815510.56 1000000 999000 0.104200 13815510.56 1000000 1000000 0.064100 13815510.56 ********************** Result using randomized algorithm ********************** n k T(Sec) nlogn 1000 1 0.000000 6907.76 5000 1 0.000000 42585.97 10000 1 0.000000 92103.40 15000 1 0.001000 144237.08 20000 1 0.002000 198069.75 25000 1 0.002000 253165.78 30000 1 0.000000 309268.58 35000 1 0.000000 366208.62 40000 1 0.003000 423865.39 45000 1 0.004000 482148.80 50000 1 0.005000 540988.91 55000 1 0.005000 600329.87 60000 1 0.001000 660125.99 65000 1 0.003000 720339.27 70000 1 0.009000 780937.54 75000 1 0.005000 841893.25 80000 1 0.006000 903182.55 85000 1 0.009000 964784.56 90000 1 0.008000 1026680.85 95000 1 0.004000 1088855.06 100000 1 0.008000 1151292.55 105000 1 0.008000 1213980.14 110000 1 0.007000 1276905.92 115000 1 0.012000 1340059.05 120000 1 0.010000 1403429.64 125000 1 0.010000 1467008.63 130000 1 0.010000 1530787.66 135000 1 0.012000 1594759.06 140000 1 0.011000 1658915.68 145000 1 0.011000 1723250.91 150000 1 0.012100 1787758.59 155000 1 0.010000 1852432.96 160000 1 0.016000 1917268.66 165000 1 0.015000 1982260.62 170000 1 0.015100 2047404.13 175000 1 0.020100 2112694.72 180000 1 0.017100 2178128.18 185000 1 0.019000 2243700.55 190000 1 0.018000 2309408.08 195000 1 0.022000 2375247.19 200000 1 0.019000 2441214.53 205000 1 0.022100 2507306.88 210000 1 0.019000 2573521.19 215000 1 0.014000 2639854.56 220000 1 0.019100 2706304.22 225000 1 0.020000 2772867.53 230000 1 0.018000 2839541.96 235000 1 0.019000 2906325.09 240000 1 0.017000 2973214.61 245000 1 0.021200 3040208.30 250000 1 0.018000 3107304.05 255000 1 0.020100 3174499.80 260000 1 0.023000 3241793.60 265000 1 0.022200 3309183.55 270000 1 0.023100 3376667.85 275000 1 0.028200 3444244.75 280000 1 0.024000 3511912.57 285000 1 0.022000 3579669.67 290000 1 0.029100 3647514.50 295000 1 0.025100 3715445.54 300000 1 0.017000 3783461.33 305000 1 0.032000 3851560.45 310000 1 0.023000 3919741.55 315000 1 0.025000 3988003.29 320000 1 0.028000 4056344.41 325000 1 0.024100 4124763.65 330000 1 0.029100 4193259.82 335000 1 0.025000 4261831.75 340000 1 0.026000 4330478.30 345000 1 0.034000 4399198.40 350000 1 0.031000 4467990.95 355000 1 0.037100 4536854.94 360000 1 0.029000 4605789.35 365000 1 0.034100 4674793.21 370000 1 0.026000 4743865.57 375000 1 0.028100 4813005.49 380000 1 0.036000 4882212.08 385000 1 0.031100 4951484.47 390000 1 0.029000 5020821.79 395000 1 0.034000 5090223.21 400000 1 0.035100 5159687.93 405000 1 0.038000 5229215.15 410000 1 0.034100 5298804.10 415000 1 0.040100 5368454.03 420000 1 0.031000 5438164.20 425000 1 0.036000 5507933.89 430000 1 0.035000 5577762.41 435000 1 0.036000 5647649.07 440000 1 0.040000 5717593.20 445000 1 0.035400 5787594.15 450000 1 0.031000 5857651.29 455000 1 0.039000 5927763.98 460000 1 0.036000 5997931.61 465000 1 0.035000 6068153.60 470000 1 0.040000 6138429.35 475000 1 0.041200 6208758.29 480000 1 0.039000 6279139.86 485000 1 0.033000 6349573.52 490000 1 0.042000 6420058.73 495000 1 0.047000 6490594.96 500000 1 0.042000 6561181.69 505000 1 0.040100 6631818.42 510000 1 0.041100 6702504.66 515000 1 0.048000 6773239.92 520000 1 0.051100 6844023.73 525000 1 0.043000 6914855.61 530000 1 0.047000 6985735.11 535000 1 0.051100 7056661.78 540000 1 0.048000 7127635.19 545000 1 0.047000 7198654.89 550000 1 0.048000 7269720.46 555000 1 0.052200 7340831.48 560000 1 0.054100 7411987.56 565000 1 0.047000 7483188.27 570000 1 0.051000 7554433.23 575000 1 0.056100 7625722.06 580000 1 0.049100 7697054.36 585000 1 0.052200 7768429.77 590000 1 0.050000 7839847.91 595000 1 0.061100 7911308.43 600000 1 0.052000 7982810.96 605000 1 0.047300 8054355.16 610000 1 0.036000 8125940.68 615000 1 0.045100 8197567.19 620000 1 0.054100 8269234.35 625000 1 0.058100 8340941.83 630000 1 0.052000 8412689.31 635000 1 0.061000 8484476.48 640000 1 0.063000 8556303.01 645000 1 0.046100 8628168.61 650000 1 0.055100 8700072.97 655000 1 0.066000 8772015.79 660000 1 0.064000 8843996.78 665000 1 0.057000 8916015.64 670000 1 0.062000 8988072.10 675000 1 0.046200 9060165.88 680000 1 0.059000 9132296.69 685000 1 0.063100 9204464.27 690000 1 0.055100 9276668.34 695000 1 0.061100 9348908.65 700000 1 0.060100 9421184.93 705000 1 0.067100 9493496.92 710000 1 0.057000 9565844.38 715000 1 0.075100 9638227.04 720000 1 0.059200 9710644.67 725000 1 0.061000 9783097.03 730000 1 0.053100 9855583.86 735000 1 0.067000 9928104.95 740000 1 0.050100 10000660.04 745000 1 0.069100 10073248.93 750000 1 0.065100 10145871.36 755000 1 0.058000 10218527.14 760000 1 0.067100 10291216.02 765000 1 0.067000 10363937.80 770000 1 0.063200 10436692.26 775000 1 0.052100 10509479.19 780000 1 0.065200 10582298.37 785000 1 0.062000 10655149.61 790000 1 0.063100 10728032.70 795000 1 0.061000 10800947.43 800000 1 0.060100 10873893.61 805000 1 0.072200 10946871.03 810000 1 0.074100 11019879.52 815000 1 0.081100 11092918.86 820000 1 0.059000 11165988.89 825000 1 0.065200 11239089.40 830000 1 0.081200 11312220.21 835000 1 0.070100 11385381.15 840000 1 0.060000 11458572.02 845000 1 0.073100 11531792.66 850000 1 0.063000 11605042.88 855000 1 0.089400 11678322.52 860000 1 0.072000 11751631.39 865000 1 0.077000 11824969.34 870000 1 0.076300 11898336.19 875000 1 0.078500 11971731.77 880000 1 0.073800 12045155.92 885000 1 0.075300 12118608.49 890000 1 0.088000 12192089.30 895000 1 0.071400 12265598.20 900000 1 0.083100 12339135.04 905000 1 0.076200 12412699.65 910000 1 0.079100 12486291.89 915000 1 0.079200 12559911.60 920000 1 0.081000 12633558.63 925000 1 0.086200 12707232.84 930000 1 0.087100 12780934.07 935000 1 0.081100 12854662.19 940000 1 0.090200 12928417.04 945000 1 0.083100 13002198.50 950000 1 0.084200 13076006.40 955000 1 0.073000 13149840.62 960000 1 0.070100 13223701.02 965000 1 0.077200 13297587.46 970000 1 0.082200 13371499.81 975000 1 0.069200 13445437.93 980000 1 0.083100 13519401.69 985000 1 0.081000 13593390.97 990000 1 0.087200 13667405.62 995000 1 0.093100 13741445.53 1000000 1 0.081100 13815510.56 ********************** Result using randomized algorithm ********************** n k T(Sec) nlogn 1000 1000 0.000000 6907.76 5000 5000 0.000000 42585.97 10000 10000 0.000000 92103.40 15000 15000 0.001000 144237.08 20000 20000 0.001000 198069.75 25000 25000 0.001000 253165.78 30000 30000 0.001000 309268.58 35000 35000 0.002000 366208.62 40000 40000 0.003000 423865.39 45000 45000 0.004000 482148.80 50000 50000 0.006100 540988.91 55000 55000 0.003000 600329.87 60000 60000 0.005000 660125.99 65000 65000 0.003000 720339.27 70000 70000 0.005000 780937.54 75000 75000 0.008000 841893.25 80000 80000 0.010000 903182.55 85000 85000 0.006000 964784.56 90000 90000 0.006000 1026680.85 95000 95000 0.009000 1088855.06 100000 100000 0.008000 1151292.55 105000 105000 0.008000 1213980.14 110000 110000 0.009000 1276905.92 115000 115000 0.009100 1340059.05 120000 120000 0.009000 1403429.64 125000 125000 0.009000 1467008.63 130000 130000 0.011000 1530787.66 135000 135000 0.012000 1594759.06 140000 140000 0.011000 1658915.68 145000 145000 0.012100 1723250.91 150000 150000 0.012100 1787758.59 155000 155000 0.010000 1852432.96 160000 160000 0.017000 1917268.66 165000 165000 0.013000 1982260.62 170000 170000 0.012000 2047404.13 175000 175000 0.014000 2112694.72 180000 180000 0.015000 2178128.18 185000 185000 0.017200 2243700.55 190000 190000 0.015100 2309408.08 195000 195000 0.014000 2375247.19 200000 200000 0.020000 2441214.53 205000 205000 0.017000 2507306.88 210000 210000 0.017000 2573521.19 215000 215000 0.014000 2639854.56 220000 220000 0.022000 2706304.22 225000 225000 0.014100 2772867.53 230000 230000 0.018200 2839541.96 235000 235000 0.021000 2906325.09 240000 240000 0.025100 2973214.61 245000 245000 0.017000 3040208.30 250000 250000 0.019000 3107304.05 255000 255000 0.026100 3174499.80 260000 260000 0.018000 3241793.60 265000 265000 0.023000 3309183.55 270000 270000 0.019000 3376667.85 275000 275000 0.030100 3444244.75 280000 280000 0.020000 3511912.57 285000 285000 0.016000 3579669.67 290000 290000 0.023100 3647514.50 295000 295000 0.023000 3715445.54 300000 300000 0.023000 3783461.33 305000 305000 0.028000 3851560.45 310000 310000 0.020000 3919741.55 315000 315000 0.031100 3988003.29 320000 320000 0.031100 4056344.41 325000 325000 0.028100 4124763.65 330000 330000 0.028000 4193259.82 335000 335000 0.030000 4261831.75 340000 340000 0.021100 4330478.30 345000 345000 0.033000 4399198.40 350000 350000 0.030000 4467990.95 355000 355000 0.026000 4536854.94 360000 360000 0.029000 4605789.35 365000 365000 0.031200 4674793.21 370000 370000 0.030000 4743865.57 375000 375000 0.032000 4813005.49 380000 380000 0.032000 4882212.08 385000 385000 0.038000 4951484.47 390000 390000 0.035100 5020821.79 395000 395000 0.038000 5090223.21 400000 400000 0.036200 5159687.93 405000 405000 0.030000 5229215.15 410000 410000 0.033000 5298804.10 415000 415000 0.033100 5368454.03 420000 420000 0.038000 5438164.20 425000 425000 0.030100 5507933.89 430000 430000 0.038000 5577762.41 435000 435000 0.042100 5647649.07 440000 440000 0.040000 5717593.20 445000 445000 0.042000 5787594.15 450000 450000 0.036000 5857651.29 455000 455000 0.044000 5927763.98 460000 460000 0.043000 5997931.61 465000 465000 0.044200 6068153.60 470000 470000 0.033000 6138429.35 475000 475000 0.034000 6208758.29 480000 480000 0.036100 6279139.86 485000 485000 0.038100 6349573.52 490000 490000 0.039000 6420058.73 495000 495000 0.045100 6490594.96 500000 500000 0.045000 6561181.69 505000 505000 0.033100 6631818.42 510000 510000 0.040100 6702504.66 515000 515000 0.038000 6773239.92 520000 520000 0.040200 6844023.73 525000 525000 0.047100 6914855.61 530000 530000 0.051100 6985735.11 535000 535000 0.045000 7056661.78 540000 540000 0.058000 7127635.19 545000 545000 0.046000 7198654.89 550000 550000 0.049000 7269720.46 555000 555000 0.049100 7340831.48 560000 560000 0.048000 7411987.56 565000 565000 0.051100 7483188.27 570000 570000 0.051100 7554433.23 575000 575000 0.043100 7625722.06 580000 580000 0.041100 7697054.36 585000 585000 0.044100 7768429.77 590000 590000 0.043000 7839847.91 595000 595000 0.059100 7911308.43 600000 600000 0.046100 7982810.96 605000 605000 0.048000 8054355.16 610000 610000 0.051000 8125940.68 615000 615000 0.047000 8197567.19 620000 620000 0.061000 8269234.35 625000 625000 0.050100 8340941.83 630000 630000 0.054000 8412689.31 635000 635000 0.047100 8484476.48 640000 640000 0.071200 8556303.01 645000 645000 0.054100 8628168.61 650000 650000 0.045100 8700072.97 655000 655000 0.052100 8772015.79 660000 660000 0.063000 8843996.78 665000 665000 0.051000 8916015.64 670000 670000 0.053000 8988072.10 675000 675000 0.053000 9060165.88 680000 680000 0.052100 9132296.69 685000 685000 0.065000 9204464.27 690000 690000 0.049100 9276668.34 695000 695000 0.066200 9348908.65 700000 700000 0.050000 9421184.93 705000 705000 0.058100 9493496.92 710000 710000 0.053100 9565844.38 715000 715000 0.074200 9638227.04 720000 720000 0.056000 9710644.67 725000 725000 0.057100 9783097.03 730000 730000 0.055100 9855583.86 735000 735000 0.076200 9928104.95 740000 740000 0.049100 10000660.04 745000 745000 0.064100 10073248.93 750000 750000 0.065000 10145871.36 755000 755000 0.066000 10218527.14 760000 760000 0.059200 10291216.02 765000 765000 0.059100 10363937.80 770000 770000 0.052000 10436692.26 775000 775000 0.084100 10509479.19 780000 780000 0.059000 10582298.37 785000 785000 0.061100 10655149.61 790000 790000 0.065100 10728032.70 795000 795000 0.068100 10800947.43 800000 800000 0.057000 10873893.61 805000 805000 0.072200 10946871.03 810000 810000 0.056100 11019879.52 815000 815000 0.080100 11092918.86 820000 820000 0.078100 11165988.89 825000 825000 0.066100 11239089.40 830000 830000 0.083100 11312220.21 835000 835000 0.075200 11385381.15 840000 840000 0.069100 11458572.02 845000 845000 0.075100 11531792.66 850000 850000 0.091000 11605042.88 855000 855000 0.062200 11678322.52 860000 860000 0.075000 11751631.39 865000 865000 0.073000 11824969.34 870000 870000 0.089600 11898336.19 875000 875000 0.058200 11971731.77 880000 880000 0.082500 12045155.92 885000 885000 0.084200 12118608.49 890000 890000 0.068000 12192089.30 895000 895000 0.089100 12265598.20 900000 900000 0.069000 12339135.04 905000 905000 0.066100 12412699.65 910000 910000 0.087000 12486291.89 915000 915000 0.075100 12559911.60 920000 920000 0.064100 12633558.63 925000 925000 0.080000 12707232.84 930000 930000 0.092200 12780934.07 935000 935000 0.076100 12854662.19 940000 940000 0.078100 12928417.04 945000 945000 0.083100 13002198.50 950000 950000 0.080100 13076006.40 955000 955000 0.093100 13149840.62 960000 960000 0.085100 13223701.02 965000 965000 0.073000 13297587.46 970000 970000 0.100300 13371499.81 975000 975000 0.095200 13445437.93 980000 980000 0.092300 13519401.69 985000 985000 0.080000 13593390.97 990000 990000 0.081200 13667405.62 995000 995000 0.095200 13741445.53 1000000 1000000 0.107200 13815510.56 ********************** Result using randomized algorithm ********************** n k T(Sec) nlogn 1000 500 0.000000 6907.76 5000 2500 0.000000 42585.97 10000 5000 0.001000 92103.40 15000 7500 0.002000 144237.08 20000 10000 0.000000 198069.75 25000 12500 0.002000 253165.78 30000 15000 0.000000 309268.58 35000 17500 0.002000 366208.62 40000 20000 0.004000 423865.39 45000 22500 0.006000 482148.80 50000 25000 0.009000 540988.91 55000 27500 0.006000 600329.87 60000 30000 0.005000 660125.99 65000 32500 0.009000 720339.27 70000 35000 0.009000 780937.54 75000 37500 0.007000 841893.25 80000 40000 0.011000 903182.55 85000 42500 0.013100 964784.56 90000 45000 0.010100 1026680.85 95000 47500 0.009000 1088855.06 100000 50000 0.013000 1151292.55 105000 52500 0.015000 1213980.14 110000 55000 0.015000 1276905.92 115000 57500 0.014000 1340059.05 120000 60000 0.015000 1403429.64 125000 62500 0.013000 1467008.63 130000 65000 0.018000 1530787.66 135000 67500 0.021100 1594759.06 140000 70000 0.017000 1658915.68 145000 72500 0.019000 1723250.91 150000 75000 0.020100 1787758.59 155000 77500 0.022000 1852432.96 160000 80000 0.023000 1917268.66 165000 82500 0.023100 1982260.62 170000 85000 0.023100 2047404.13 175000 87500 0.022000 2112694.72 180000 90000 0.024000 2178128.18 185000 92500 0.024000 2243700.55 190000 95000 0.024000 2309408.08 195000 97500 0.025100 2375247.19 200000 100000 0.029100 2441214.53 205000 102500 0.027000 2507306.88 210000 105000 0.030000 2573521.19 215000 107500 0.030000 2639854.56 220000 110000 0.027000 2706304.22 225000 112500 0.025000 2772867.53 230000 115000 0.030000 2839541.96 235000 117500 0.030100 2906325.09 240000 120000 0.034000 2973214.61 245000 122500 0.037000 3040208.30 250000 125000 0.033200 3107304.05 255000 127500 0.034000 3174499.80 260000 130000 0.034100 3241793.60 265000 132500 0.039000 3309183.55 270000 135000 0.037000 3376667.85 275000 137500 0.038100 3444244.75 280000 140000 0.037000 3511912.57 285000 142500 0.042000 3579669.67 290000 145000 0.039100 3647514.50 295000 147500 0.045000 3715445.54 300000 150000 0.037100 3783461.33 305000 152500 0.046100 3851560.45 310000 155000 0.038100 3919741.55 315000 157500 0.047000 3988003.29 320000 160000 0.045200 4056344.41 325000 162500 0.053100 4124763.65 330000 165000 0.046000 4193259.82 335000 167500 0.047000 4261831.75 340000 170000 0.044100 4330478.30 345000 172500 0.045100 4399198.40 350000 175000 0.046000 4467990.95 355000 177500 0.052000 4536854.94 360000 180000 0.055100 4605789.35 365000 182500 0.050100 4674793.21 370000 185000 0.044000 4743865.57 375000 187500 0.054000 4813005.49 380000 190000 0.048100 4882212.08 385000 192500 0.058000 4951484.47 390000 195000 0.051000 5020821.79 395000 197500 0.057100 5090223.21 400000 200000 0.058000 5159687.93 405000 202500 0.056100 5229215.15 410000 205000 0.048100 5298804.10 415000 207500 0.066000 5368454.03 420000 210000 0.056100 5438164.20 425000 212500 0.063000 5507933.89 430000 215000 0.070000 5577762.41 435000 217500 0.052000 5647649.07 440000 220000 0.057000 5717593.20 445000 222500 0.065000 5787594.15 450000 225000 0.055000 5857651.29 455000 227500 0.061200 5927763.98 460000 230000 0.064000 5997931.61 465000 232500 0.065100 6068153.60 470000 235000 0.066100 6138429.35 475000 237500 0.067100 6208758.29 480000 240000 0.065100 6279139.86 485000 242500 0.075000 6349573.52 490000 245000 0.077100 6420058.73 495000 247500 0.064100 6490594.96 500000 250000 0.068100 6561181.69 505000 252500 0.071100 6631818.42 510000 255000 0.073000 6702504.66 515000 257500 0.075200 6773239.92 520000 260000 0.065200 6844023.73 525000 262500 0.075000 6914855.61 530000 265000 0.074100 6985735.11 535000 267500 0.079200 7056661.78 540000 270000 0.071100 7127635.19 545000 272500 0.066200 7198654.89 550000 275000 0.074000 7269720.46 555000 277500 0.075200 7340831.48 560000 280000 0.084100 7411987.56 565000 282500 0.085000 7483188.27 570000 285000 0.082300 7554433.23 575000 287500 0.085200 7625722.06 580000 290000 0.075200 7697054.36 585000 292500 0.086000 7768429.77 590000 295000 0.082100 7839847.91 595000 297500 0.079100 7911308.43 600000 300000 0.093200 7982810.96 605000 302500 0.092100 8054355.16 610000 305000 0.092100 8125940.68 615000 307500 0.091200 8197567.19 620000 310000 0.102200 8269234.35 625000 312500 0.096200 8340941.83 630000 315000 0.087100 8412689.31 635000 317500 0.081200 8484476.48 640000 320000 0.094000 8556303.01 645000 322500 0.088000 8628168.61 650000 325000 0.102000 8700072.97 655000 327500 0.107100 8772015.79 660000 330000 0.088200 8843996.78 665000 332500 0.094100 8916015.64 670000 335000 0.086100 8988072.10 675000 337500 0.092200 9060165.88 680000 340000 0.095100 9132296.69 685000 342500 0.102200 9204464.27 690000 345000 0.096100 9276668.34 695000 347500 0.095200 9348908.65 700000 350000 0.100100 9421184.93 705000 352500 0.099200 9493496.92 710000 355000 0.096000 9565844.38 715000 357500 0.092300 9638227.04 720000 360000 0.110200 9710644.67 725000 362500 0.099200 9783097.03 730000 365000 0.103300 9855583.86 735000 367500 0.093000 9928104.95 740000 370000 0.110100 10000660.04 745000 372500 0.111000 10073248.93 750000 375000 0.099000 10145871.36 755000 377500 0.104000 10218527.14 760000 380000 0.112200 10291216.02 765000 382500 0.111300 10363937.80 770000 385000 0.123200 10436692.26 775000 387500 0.102200 10509479.19 780000 390000 0.112200 10582298.37 785000 392500 0.124200 10655149.61 790000 395000 0.119100 10728032.70 795000 397500 0.132300 10800947.43 800000 400000 0.121200 10873893.61 805000 402500 0.134100 10946871.03 810000 405000 0.128200 11019879.52 815000 407500 0.111100 11092918.86 820000 410000 0.132000 11165988.89 825000 412500 0.119200 11239089.40 830000 415000 0.119000 11312220.21 835000 417500 0.122100 11385381.15 840000 420000 0.105200 11458572.02 845000 422500 0.118000 11531792.66 850000 425000 0.115000 11605042.88 855000 427500 0.129100 11678322.52 860000 430000 0.119000 11751631.39 865000 432500 0.122000 11824969.34 870000 435000 0.122200 11898336.19 875000 437500 0.116100 11971731.77 880000 440000 0.130200 12045155.92 885000 442500 0.142200 12118608.49 890000 445000 0.130100 12192089.30 895000 447500 0.125200 12265598.20 900000 450000 0.142200 12339135.04 905000 452500 0.138200 12412699.65 910000 455000 0.138300 12486291.89 915000 457500 0.121200 12559911.60 920000 460000 0.133100 12633558.63 925000 462500 0.130200 12707232.84 930000 465000 0.124100 12780934.07 935000 467500 0.130200 12854662.19 940000 470000 0.121200 12928417.04 945000 472500 0.134300 13002198.50 950000 475000 0.138200 13076006.40 955000 477500 0.147300 13149840.62 960000 480000 0.138100 13223701.02 965000 482500 0.142300 13297587.46 970000 485000 0.124200 13371499.81 975000 487500 0.128400 13445437.93 980000 490000 0.146200 13519401.69 985000 492500 0.140300 13593390.97 990000 495000 0.144200 13667405.62 995000 497500 0.149100 13741445.53 1000000 500000 0.134300 13815510.56 ********************** Result using randomized algorithm ********************** n k T(Sec) nlogn 1000 250 0.000000 6907.76 5000 1250 0.000000 42585.97 10000 2500 0.002000 92103.40 15000 3750 0.001000 144237.08 20000 5000 0.002000 198069.75 25000 6250 0.002000 253165.78 30000 7500 0.002000 309268.58 35000 8750 0.004000 366208.62 40000 10000 0.004000 423865.39 45000 11250 0.006100 482148.80 50000 12500 0.008000 540988.91 55000 13750 0.006100 600329.87 60000 15000 0.006000 660125.99 65000 16250 0.005000 720339.27 70000 17500 0.008000 780937.54 75000 18750 0.005000 841893.25 80000 20000 0.009000 903182.55 85000 21250 0.009000 964784.56 90000 22500 0.009000 1026680.85 95000 23750 0.009000 1088855.06 100000 25000 0.011000 1151292.55 105000 26250 0.015000 1213980.14 110000 27500 0.013000 1276905.92 115000 28750 0.011000 1340059.05 120000 30000 0.017000 1403429.64 125000 31250 0.015000 1467008.63 130000 32500 0.015000 1530787.66 135000 33750 0.016100 1594759.06 140000 35000 0.015000 1658915.68 145000 36250 0.018100 1723250.91 150000 37500 0.019000 1787758.59 155000 38750 0.018000 1852432.96 160000 40000 0.018100 1917268.66 165000 41250 0.022000 1982260.62 170000 42500 0.020000 2047404.13 175000 43750 0.019000 2112694.72 180000 45000 0.022000 2178128.18 185000 46250 0.026000 2243700.55 190000 47500 0.027100 2309408.08 195000 48750 0.025000 2375247.19 200000 50000 0.024100 2441214.53 205000 51250 0.027100 2507306.88 210000 52500 0.026000 2573521.19 215000 53750 0.027100 2639854.56 220000 55000 0.025100 2706304.22 225000 56250 0.028200 2772867.53 230000 57500 0.029300 2839541.96 235000 58750 0.028000 2906325.09 240000 60000 0.033100 2973214.61 245000 61250 0.026100 3040208.30 250000 62500 0.029000 3107304.05 255000 63750 0.031100 3174499.80 260000 65000 0.033000 3241793.60 265000 66250 0.035100 3309183.55 270000 67500 0.029200 3376667.85 275000 68750 0.038100 3444244.75 280000 70000 0.039000 3511912.57 285000 71250 0.031000 3579669.67 290000 72500 0.037000 3647514.50 295000 73750 0.039000 3715445.54 300000 75000 0.039000 3783461.33 305000 76250 0.046000 3851560.45 310000 77500 0.041100 3919741.55 315000 78750 0.041100 3988003.29 320000 80000 0.048100 4056344.41 325000 81250 0.054000 4124763.65 330000 82500 0.039100 4193259.82 335000 83750 0.041100 4261831.75 340000 85000 0.056100 4330478.30 345000 86250 0.056000 4399198.40 350000 87500 0.041000 4467990.95 355000 88750 0.050200 4536854.94 360000 90000 0.058100 4605789.35 365000 91250 0.049100 4674793.21 370000 92500 0.054300 4743865.57 375000 93750 0.072000 4813005.49 380000 95000 0.049000 4882212.08 385000 96250 0.062000 4951484.47 390000 97500 0.057000 5020821.79 395000 98750 0.047100 5090223.21 400000 100000 0.058100 5159687.93 405000 101250 0.053000 5229215.15 410000 102500 0.051200 5298804.10 415000 103750 0.054000 5368454.03 420000 105000 0.064000 5438164.20 425000 106250 0.049000 5507933.89 430000 107500 0.056000 5577762.41 435000 108750 0.057000 5647649.07 440000 110000 0.063100 5717593.20 445000 111250 0.058000 5787594.15 450000 112500 0.058000 5857651.29 455000 113750 0.061100 5927763.98 460000 115000 0.063100 5997931.61 465000 116250 0.063100 6068153.60 470000 117500 0.064100 6138429.35 475000 118750 0.071100 6208758.29 480000 120000 0.061100 6279139.86 485000 121250 0.058100 6349573.52 490000 122500 0.059000 6420058.73 495000 123750 0.063100 6490594.96 500000 125000 0.065000 6561181.69 505000 126250 0.061100 6631818.42 510000 127500 0.063000 6702504.66 515000 128750 0.063100 6773239.92 520000 130000 0.062000 6844023.73 525000 131250 0.075000 6914855.61 530000 132500 0.062000 6985735.11 535000 133750 0.071100 7056661.78 540000 135000 0.071100 7127635.19 545000 136250 0.070300 7198654.89 550000 137500 0.085100 7269720.46 555000 138750 0.080200 7340831.48 560000 140000 0.075100 7411987.56 565000 141250 0.079100 7483188.27 570000 142500 0.067100 7554433.23 575000 143750 0.078000 7625722.06 580000 145000 0.091000 7697054.36 585000 146250 0.080300 7768429.77 590000 147500 0.079300 7839847.91 595000 148750 0.077200 7911308.43 600000 150000 0.069000 7982810.96 605000 151250 0.076100 8054355.16 610000 152500 0.084100 8125940.68 615000 153750 0.079200 8197567.19 620000 155000 0.085100 8269234.35 625000 156250 0.092200 8340941.83 630000 157500 0.079200 8412689.31 635000 158750 0.083000 8484476.48 640000 160000 0.085300 8556303.01 645000 161250 0.083000 8628168.61 650000 162500 0.095000 8700072.97 655000 163750 0.078000 8772015.79 660000 165000 0.096100 8843996.78 665000 166250 0.077100 8916015.64 670000 167500 0.073100 8988072.10 675000 168750 0.095100 9060165.88 680000 170000 0.099100 9132296.69 685000 171250 0.097200 9204464.27 690000 172500 0.079200 9276668.34 695000 173750 0.098100 9348908.65 700000 175000 0.088200 9421184.93 705000 176250 0.099100 9493496.92 710000 177500 0.095200 9565844.38 715000 178750 0.091000 9638227.04 720000 180000 0.091000 9710644.67 725000 181250 0.094000 9783097.03 730000 182500 0.088200 9855583.86 735000 183750 0.097200 9928104.95 740000 185000 0.092200 10000660.04 745000 186250 0.082300 10073248.93 750000 187500 0.096100 10145871.36 755000 188750 0.105200 10218527.14 760000 190000 0.093200 10291216.02 765000 191250 0.106200 10363937.80 770000 192500 0.119300 10436692.26 775000 193750 0.102100 10509479.19 780000 195000 0.099100 10582298.37 785000 196250 0.086100 10655149.61 790000 197500 0.086100 10728032.70 795000 198750 0.105000 10800947.43 800000 200000 0.109100 10873893.61 805000 201250 0.108300 10946871.03 810000 202500 0.113100 11019879.52 815000 203750 0.118200 11092918.86 820000 205000 0.113200 11165988.89 825000 206250 0.104400 11239089.40 830000 207500 0.112300 11312220.21 835000 208750 0.114000 11385381.15 840000 210000 0.121000 11458572.02 845000 211250 0.111000 11531792.66 850000 212500 0.110200 11605042.88 855000 213750 0.103000 11678322.52 860000 215000 0.114200 11751631.39 865000 216250 0.102000 11824969.34 870000 217500 0.137000 11898336.19 875000 218750 0.108600 11971731.77 880000 220000 0.126100 12045155.92 885000 221250 0.105000 12118608.49 890000 222500 0.131300 12192089.30 895000 223750 0.109100 12265598.20 900000 225000 0.118200 12339135.04 905000 226250 0.109000 12412699.65 910000 227500 0.105100 12486291.89 915000 228750 0.129200 12559911.60 920000 230000 0.117300 12633558.63 925000 231250 0.116200 12707232.84 930000 232500 0.113100 12780934.07 935000 233750 0.126200 12854662.19 940000 235000 0.124200 12928417.04 945000 236250 0.117200 13002198.50 950000 237500 0.113300 13076006.40 955000 238750 0.145200 13149840.62 960000 240000 0.120200 13223701.02 965000 241250 0.118200 13297587.46 970000 242500 0.145200 13371499.81 975000 243750 0.130200 13445437.93 980000 245000 0.117000 13519401.69 985000 246250 0.131200 13593390.97 990000 247500 0.127000 13667405.62 995000 248750 0.131000 13741445.53 1000000 250000 0.131300 13815510.56 ********************** Result using randomized algorithm ********************** n k T(Sec) nlogn 1000 750 0.000000 6907.76 5000 3750 0.000000 42585.97 10000 7500 0.000000 92103.40 15000 11250 0.001000 144237.08 20000 15000 0.001000 198069.75 25000 18750 0.001000 253165.78 30000 22500 0.002000 309268.58 35000 26250 0.003000 366208.62 40000 30000 0.004000 423865.39 45000 33750 0.004000 482148.80 50000 37500 0.004000 540988.91 55000 41250 0.004000 600329.87 60000 45000 0.007000 660125.99 65000 48750 0.002000 720339.27 70000 52500 0.007000 780937.54 75000 56250 0.008000 841893.25 80000 60000 0.007000 903182.55 85000 63750 0.011000 964784.56 90000 67500 0.009000 1026680.85 95000 71250 0.007000 1088855.06 100000 75000 0.010000 1151292.55 105000 78750 0.009000 1213980.14 110000 82500 0.015100 1276905.92 115000 86250 0.014100 1340059.05 120000 90000 0.013000 1403429.64 125000 93750 0.012000 1467008.63 130000 97500 0.015000 1530787.66 135000 101250 0.017000 1594759.06 140000 105000 0.015000 1658915.68 145000 108750 0.020000 1723250.91 150000 112500 0.018000 1787758.59 155000 116250 0.019000 1852432.96 160000 120000 0.022100 1917268.66 165000 123750 0.021000 1982260.62 170000 127500 0.024000 2047404.13 175000 131250 0.021000 2112694.72 180000 135000 0.022000 2178128.18 185000 138750 0.028000 2243700.55 190000 142500 0.024000 2309408.08 195000 146250 0.024100 2375247.19 200000 150000 0.025200 2441214.53 205000 153750 0.025100 2507306.88 210000 157500 0.028000 2573521.19 215000 161250 0.027000 2639854.56 220000 165000 0.026000 2706304.22 225000 168750 0.025000 2772867.53 230000 172500 0.032000 2839541.96 235000 176250 0.034000 2906325.09 240000 180000 0.025100 2973214.61 245000 183750 0.031000 3040208.30 250000 187500 0.034000 3107304.05 255000 191250 0.033200 3174499.80 260000 195000 0.031100 3241793.60 265000 198750 0.030200 3309183.55 270000 202500 0.033100 3376667.85 275000 206250 0.035100 3444244.75 280000 210000 0.036000 3511912.57 285000 213750 0.035000 3579669.67 290000 217500 0.040000 3647514.50 295000 221250 0.035100 3715445.54 300000 225000 0.033000 3783461.33 305000 228750 0.035300 3851560.45 310000 232500 0.036000 3919741.55 315000 236250 0.036000 3988003.29 320000 240000 0.042200 4056344.41 325000 243750 0.039100 4124763.65 330000 247500 0.040100 4193259.82 335000 251250 0.041000 4261831.75 340000 255000 0.040100 4330478.30 345000 258750 0.043100 4399198.40 350000 262500 0.047100 4467990.95 355000 266250 0.042000 4536854.94 360000 270000 0.046000 4605789.35 365000 273750 0.056000 4674793.21 370000 277500 0.043100 4743865.57 375000 281250 0.042200 4813005.49 380000 285000 0.039000 4882212.08 385000 288750 0.051100 4951484.47 390000 292500 0.046100 5020821.79 395000 296250 0.053100 5090223.21 400000 300000 0.046000 5159687.93 405000 303750 0.062200 5229215.15 410000 307500 0.046100 5298804.10 415000 311250 0.052000 5368454.03 420000 315000 0.056300 5438164.20 425000 318750 0.060000 5507933.89 430000 322500 0.045000 5577762.41 435000 326250 0.056700 5647649.07 440000 330000 0.050100 5717593.20 445000 333750 0.053000 5787594.15 450000 337500 0.058200 5857651.29 455000 341250 0.061000 5927763.98 460000 345000 0.064000 5997931.61 465000 348750 0.068100 6068153.60 470000 352500 0.065100 6138429.35 475000 356250 0.054100 6208758.29 480000 360000 0.057000 6279139.86 485000 363750 0.064200 6349573.52 490000 367500 0.069100 6420058.73 495000 371250 0.069100 6490594.96 500000 375000 0.062100 6561181.69 505000 378750 0.071100 6631818.42 510000 382500 0.065100 6702504.66 515000 386250 0.070100 6773239.92 520000 390000 0.060000 6844023.73 525000 393750 0.066100 6914855.61 530000 397500 0.073200 6985735.11 535000 401250 0.061000 7056661.78 540000 405000 0.067100 7127635.19 545000 408750 0.070000 7198654.89 550000 412500 0.067000 7269720.46 555000 416250 0.062100 7340831.48 560000 420000 0.073000 7411987.56 565000 423750 0.072200 7483188.27 570000 427500 0.077100 7554433.23 575000 431250 0.065000 7625722.06 580000 435000 0.084000 7697054.36 585000 438750 0.074000 7768429.77 590000 442500 0.083100 7839847.91 595000 446250 0.086100 7911308.43 600000 450000 0.076100 7982810.96 605000 453750 0.076100 8054355.16 610000 457500 0.088100 8125940.68 615000 461250 0.080200 8197567.19 620000 465000 0.079100 8269234.35 625000 468750 0.100200 8340941.83 630000 472500 0.081100 8412689.31 635000 476250 0.078300 8484476.48 640000 480000 0.080100 8556303.01 645000 483750 0.087000 8628168.61 650000 487500 0.086000 8700072.97 655000 491250 0.083000 8772015.79 660000 495000 0.072000 8843996.78 665000 498750 0.094200 8916015.64 670000 502500 0.091100 8988072.10 675000 506250 0.083100 9060165.88 680000 510000 0.093200 9132296.69 685000 513750 0.097100 9204464.27 690000 517500 0.089200 9276668.34 695000 521250 0.099100 9348908.65 700000 525000 0.085200 9421184.93 705000 528750 0.101100 9493496.92 710000 532500 0.088200 9565844.38 715000 536250 0.093200 9638227.04 720000 540000 0.103200 9710644.67 725000 543750 0.099200 9783097.03 730000 547500 0.089200 9855583.86 735000 551250 0.101100 9928104.95 740000 555000 0.096100 10000660.04 745000 558750 0.095300 10073248.93 750000 562500 0.090100 10145871.36 755000 566250 0.098000 10218527.14 760000 570000 0.106100 10291216.02 765000 573750 0.108200 10363937.80 770000 577500 0.113200 10436692.26 775000 581250 0.094100 10509479.19 780000 585000 0.099300 10582298.37 785000 588750 0.097100 10655149.61 790000 592500 0.091300 10728032.70 795000 596250 0.108100 10800947.43 800000 600000 0.119200 10873893.61 805000 603750 0.098100 10946871.03 810000 607500 0.103100 11019879.52 815000 611250 0.108000 11092918.86 820000 615000 0.115100 11165988.89 825000 618750 0.104000 11239089.40 830000 622500 0.121100 11312220.21 835000 626250 0.102000 11385381.15 840000 630000 0.105400 11458572.02 845000 633750 0.103000 11531792.66 850000 637500 0.108000 11605042.88 855000 641250 0.126000 11678322.52 860000 645000 0.121000 11751631.39 865000 648750 0.107000 11824969.34 870000 652500 0.134400 11898336.19 875000 656250 0.117000 11971731.77 880000 660000 0.108500 12045155.92 885000 663750 0.112200 12118608.49 890000 667500 0.103000 12192089.30 895000 671250 0.113100 12265598.20 900000 675000 0.122200 12339135.04 905000 678750 0.115300 12412699.65 910000 682500 0.119100 12486291.89 915000 686250 0.132200 12559911.60 920000 690000 0.098200 12633558.63 925000 693750 0.115100 12707232.84 930000 697500 0.116200 12780934.07 935000 701250 0.137200 12854662.19 940000 705000 0.145300 12928417.04 945000 708750 0.117000 13002198.50 950000 712500 0.140200 13076006.40 955000 716250 0.138000 13149840.62 960000 720000 0.148100 13223701.02 965000 723750 0.110200 13297587.46 970000 727500 0.144100 13371499.81 975000 731250 0.124200 13445437.93 980000 735000 0.129200 13519401.69 985000 738750 0.107100 13593390.97 990000 742500 0.139100 13667405.62 995000 746250 0.142200 13741445.53 1000000 750000 0.127400 13815510.56